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3 years ago

Evaluate f (2) if f (x)= 10-x^3

1 answer:

7 0

f (x)= 10-x³.
f(2) means the value of the function when x=2.
So, we need to substitute 2 instead of x.

f(2) = 10 - 2³ = 10-8 =2

f(2) = 2

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(b) Factorise fully 2 a²b + 6ab2

den301095 [7]

Answer:

Step-by-step explanation:

$2 {a}^{2} b + 6a {b}^{2}$

Factor out common term : 2ab

$2 {a}^{2}b \div 2a = a \\ 6a {b}^{2} \div 2ab = 3b \\ 2ab(a + 3b)$

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2 years ago

Read 2 more answers

Eighteen less than 7 times a number is the same as 12 more than the number

professor190 [17]

Answer:

7n-18=n+12

Step-by-step explanation:

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2 years ago

BUSINESS AND FINANCE An airline had 173, 212, 185, 197, and 202 passengers on five morning flights between Washington, D.C., and

topjm [15]

Answer:

969

Step-by-step explanation:

173 + 212 + 185 + 197 + 202 = 969

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2 years ago

Glenda receives a salary of $4,792 bimonthly. Find Glenda’s earnings per year.

Andre45 [30]

Answer: $28,752

Explanation:

The definition of bimonthly is an event that happens once in two months. $-bi$ represents "two", while $-monthly$ represents "event that happens by month.

Given that Glenda receives a salary of $4,792 bi-monthly, we are required to find the earnings per year.

There are 12 months in each year, and if the given value is a 2-month value, then we shall divide 12 by 2 to find that there is in total 6 of the 2-month value.

$12/2=6$

Finally, we shall multiply the total number with the salary, which will be $4,792 times 6.

$4792*6=\boxed{28752}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

2 years ago

Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$